Question

If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?

Answer 1

`t=kg`

Explanation:

t represents the tip

g represents the no. of guests

We are given that the tip varies directly with the number of guests

Direct relation equation :
`x \propto y`

So, ATQ

Equation :
`t \propto g`

`t=kg`

Where k is the constant of proportionality

So, equation represents the relationship between the tip, t, and the number of guests, g is
`t=kg`

Answer 2

If the tip, t, varies directly with the number of guests, g, then it means that any change in tip there is a corresponding change in the number of guests. When the tip increases the number of guests increases as well. Therefore,

t α g

To change the it to equal sign, we incorporate a proportionality constant, k.

t = kg

This equation will represent the relation of t to g.